Monday, February 22, 2010

In A Total Time Of 2.0 A Duck On A Pond Paddles 22 M -----Kinematics-----?

-----Kinematics-----? - in a total time of 2.0 a duck on a pond paddles 22 m

In a total time of 2.0 minutes,] a duck in a pond of 22m Rudder [N 36degrees E and then rowing 65m [E 25degree S]

a) the total distance traveled
b) the average velocity
c) the sum of the displacement
d) the average speed

1 comment:

Andrew A said...

a) total distance = 22m + 65m = 87m
b) Average = DISAT / h = 87 / 2 = 43.5m/min or 87 / (60 * 2) = 0.725m / s

Total displacement c). This is the final difference between the points of beginning and end.
Route: East = 22 * cos (36) + 65 * COS (25) = 76.7m
Distance = North 22 * sin (36) - 65 * sin (25) (the second step was to the south, not north) =- 14.5 million (or 14.5 million South)

Total distance ^ 2 = ^ 2 + at this distance north ^ 2
Displacement = sqrt (76.7 * 76.7 * 14.5 + 14.5) = 78.1 m

And the game is tied (14.5/76.7) = 10.7 degrees south of east.

d) the average velocity = distance / time
= 78.1 / (2 * 60) = 0.65 m / s
in the same direction as the displacement.

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